Sharp inequalities related to the functional \(U_j\) and some applications. (English) Zbl 1467.52014
The authors prove sharp inequalities of the parameterized functional for Borel measures on the unit sphere in \({\mathbb R}^n\). They apply their findings to inequalities related to cone-volume measures and Schneider’s projection problem.
Reviewer: George Stoica (Saint John)
MSC:
| 52A40 | Inequalities and extremum problems involving convexity in convex geometry |
Keywords:
parameterized functional \(U_j\); isotropic measure; cone-volume measure; Schneider’s projection problemReferences:
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